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Simplifying 12(a + b) + -2a + 2b = 0 (a * 12 + b * 12) + -2a + 2b = 0 (12a + 12b) + -2a + 2b = 0 Reorder the terms: 12a + -2a + 12b + 2b = 0 Combine like terms: 12a + -2a = 10a 10a + 12b + 2b = 0 Combine like terms: 12b + 2b = 14b 10a + 14b = 0 Solving 10a + 14b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 10a + 14b + -14b = 0 + -14b Combine like terms: 14b + -14b = 0 10a + 0 = 0 + -14b 10a = 0 + -14b Remove the zero: 10a = -14b Divide each side by '10'. a = -1.4b Simplifying a = -1.4b
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